Journal of Low Frequency Noise, Vibration and Active Control (Dec 2019)
An effective modification of Ji-Huan He’s variational approach to nonlinear singular oscillator
Abstract
In the review article “Asymptotic methods for solitary solutions and compactons” (Ji-Huan He, Abstract and Applied Analysis 2012: 916793), the variational approach and the Hamiltonian approach to nonlinear oscillators are systematically discussed. This paper gives an extension of the methods to singular nonlinear oscillator by the iteration perturbation method.